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Finding the Fourth Proportional to 460.46, 689.76 and 277.29

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Solution

The fourth proportional to 460.46, 689.76 and 277.29 is: 415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 689.76 = 277.29 : x
  2. Step 2: Convert to fraction form
    460.46/689.76 = 277.29/x
  3. Step 3: Cross multiply
    460.46x = 689.76 × 277.29
  4. Step 4: Simplify right side
    460.46x = 191,263.55
  5. Step 5: Solve for x
    x = 191,263.55/460.46
  6. Step 6: Final answer
    x = 415.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.